Question: Please prove this question. (This is Analysis.) Problem 2: Let C be a family of all circles in the plane R2 which have rational centers

Please prove this question. (This is Analysis.)

Problem 2: Let C be a family of all circles in the plane R2 which have rational centers and rational radiuses, i.e., for each C E C the center is a point with both coordinates rational and the radius is a rational number as well. Prove that the family C is countable

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